__Flywheel Torque Calculator:__

__Flywheel Torque Calculator:__

Enter the values of mass, m_{(kg) }of the flywheel, radius, r_{(m) }of the flywheel and angular acceleration, a(rad/s^{2}) to generate the value of the flywheel torque, T_{fw(N.m)}.

__Flywheel Torque Formula:__

__Flywheel Torque Formula:__

Flywheel torque calculation is essential for understanding the dynamics of rotational systems, particularly in engines and other machinery where energy storage and smooth operation are critical. The torque exerted by a flywheel is a measure of its ability to store or release energy based on its moment of inertia and the angular acceleration it undergoes.

The flywheel torque, T_{fw(N.m)} in Newton metre is equated by dividing the product of mass, m_{(kg) }of the flywheel in kilogram, square of radius, r_{(m) }of the flywheel in metre and angular acceleration, a_{(rad/s2)} in radian per second square by 2.

The flywheel torque, T_{fw(N.m) } = (m_{(kg) }* r_{(m)}^{2} / 2) * a_{(rad/s2)}

T_{fw(N.m) } = flywheel torque in Newton metre, N.m.

m_{(kg) } = mass of the flywheel in kilogram, kg.

r_{(m) } = radius of the flywheel in metre, m.

a_{(rad/s2)} = angular acceleration in radian per second square, rad/s^{2}.

__Flywheel Torque Calculation:__

1. A flywheel with a mass of 100 kg and a radius of 0.5 metres is subjected to an angular acceleration of 4rad/s^{2}. Determine the torque exerted by the flywheel.

Given: m_{(kg) }= 100kg, r_{(m) } = 0.5m, a_{(rad/s2) }= 4rad/s^{2}.

The flywheel torque, T_{fw(N.m) } = (m_{(kg) }* r_{(m)}^{2} / 2) * a_{(rad/s2)}

T_{fw(N.m) } = (100 * 0.5^{2} / 2) * 4

T_{fw(N.m) } = 12.5 * 4

T_{fw(N.m) } = 50N.m.

2. A flywheel with a mass of 200 kg and a radius of 0.4 metres needs to exert a torque of 80 N.m. Find the required angular acceleration.

Given: m_{(kg) }= 200kg, r_{(m) } = 0.4m, T_{fw(N.m) } = 80N.m.

The flywheel torque, T_{fw(N.m) } = (m_{(kg) }* r_{(m)}^{2} / 2) * a_{(rad/s2)}

a_{(rad/s2)} = T_{fw(N.m) } * 2 / m_{(kg) }* r_{(m) }

a_{(rad/s2)} = 80 * 2 / 200 * 0.4^{2}

a_{(rad/s2)} = 160 / 32

a_{(rad/s2)} = 5N.m.